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Finding the Fourth Proportional to 83,343, 115,014.42 and 45,616.44

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Solution

The fourth proportional to 83,343, 115,014.42 and 45,616.44 is: 62,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,343 : 115,014.42 = 45,616.44 : x
  2. Step 2: Convert to fraction form
    83,343/115,014.42 = 45,616.44/x
  3. Step 3: Cross multiply
    83,343x = 115,014.42 × 45,616.44
  4. Step 4: Simplify right side
    83,343x = 5,246,548,389.06
  5. Step 5: Solve for x
    x = 5,246,548,389.06/83,343
  6. Step 6: Final answer
    x = 62,951.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.